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Finding the Fourth Proportional to 27,412.88, 41,123.61 and 11,617.94

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Solution

The fourth proportional to 27,412.88, 41,123.61 and 11,617.94 is: 17,428.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,412.88 : 41,123.61 = 11,617.94 : x
  2. Step 2: Convert to fraction form
    27,412.88/41,123.61 = 11,617.94/x
  3. Step 3: Cross multiply
    27,412.88x = 41,123.61 × 11,617.94
  4. Step 4: Simplify right side
    27,412.88x = 477,771,633.56
  5. Step 5: Solve for x
    x = 477,771,633.56/27,412.88
  6. Step 6: Final answer
    x = 17,428.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.